Question

Question: Lessee Entries; Capital Lease with Unguaranteed Residual Value) On January 1, 2017, Burke Corporation signed a 5-year noncancelable lease for a machine. The terms of the lease called for Burke to make annual payments of \(8,668 at the beginning of each year, starting January 1, 2017. The machine has an estimated useful life of 6 years and a \)5,000 unguaranteed residual value. The machine reverts back to the lessor at the end of the lease term. Burke uses the straight-line method of depreciation for all of its plant assets. Burke’s incremental borrowing rate is 10%, and the lessor’s implicit rate is unknown.

Instructions

(b) Compute the present value of the minimum lease payments.

Short answer

Answer

The present value of minimum lease payments is $36,144

Step-by-step solution

Meaning of lease payments

Lease payment is the monthly equivalent of rent formally determined under a contract between two parties, allowing one party to acquire the other's real estate holdings, construction equipment, computers, software, or other fixed assets for a specified period which confers a legal right to use.

Computation of the present value of the minimum lease payments

Computation of present value of minimum lease payments

$$\begin{gathered} \mathbf{\text{Presentvalueofminimumleasepayments=Leaseamount×Presentvalueofannuity}} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{8}\mathbf{,}\mathbf{668}\mathbf{\times }\mathbf{4}\mathbf{.}\mathbf{16986} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{\$}\mathbf{36}\mathbf{,}\mathbf{144} \end{gathered}$$

Note: Present value of an annuity due of 1 for 5 periods at 10%